Point is it's doable and it's not a rocket science.
Nothing personal, but that phrase always irritates.
"Rocket science" is actually fairly easy. Much more complex is the maths around navigation and control.
The space shuttle was controlled by five computers, each with power not much greater that a very good pocket calculator and all doing much the same thing.
The control surfaces were all drive by hydraulics with five independent systems, each driven by one of the computers.
The hydraulics formed a voting system, so that provided a majority of the computers agreed and most of the hytdraulics were OK, three or more systems would overpower the other(s).